Solve for x x+5/8=-1/4

$x + \frac{5}{8} = - \frac{1}{4}$

Step 1

Subtract $\frac{5}{8}$ from both sides of the equation.

$x = - \frac{1}{4} - \frac{5}{8}$

Step 2

To write $- \frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x = - \frac{1}{4} \cdot \frac{2}{2} - \frac{5}{8}$

Step 3

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{2}{2}$ .

$x = - \frac{2}{4 \cdot 2} - \frac{5}{8}$

Multiply $4$ by $2$ .

$x = - \frac{2}{8} - \frac{5}{8}$

Step 4

Combine the numerators over the common denominator.

$x = \frac{- 2 - 5}{8}$

Step 5

Subtract $5$ from $- 2$ .

$x = \frac{- 7}{8}$

Step 6

Move the negative in front of the fraction.

$x = - \frac{7}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{7}{8}$

Decimal Form:

$x = - 0.875$